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Finding the Third Proportional to 742,762.13 and 1,093,025.25

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Solution

The third proportional to 742,762.13 and 1,093,025.25 is: 1,608,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,762.13 : 1,093,025.25 = 1,093,025.25 : x
  2. Step 2: Convert to fraction form
    742,762.13/1,093,025.25 = 1,093,025.25/x
  3. Step 3: Cross multiply
    742,762.13x = 1,093,025.25 × 1,093,025.25
  4. Step 4: Simplify right side
    742,762.13x = 1,194,704,197,137.56
  5. Step 5: Solve for x
    x = 1,194,704,197,137.56/742,762.13
  6. Step 6: Final answer
    x = 1,608,461.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.